Question 27

If the numerator of certain fraction increased by 100% and the denominator is increased by 200% the new fraction thus formed is $$\frac{4}{21}$$ What is the original fraction ?

Solution

If the numerator (assume to be x) is increased by 100%, it becomes 2x

and the denominator(assume to be y) is increased by 200%, it becomes 3y.

The new fraction is $$\frac{4}{21}$$ = $$\frac{2x}{3y}$$

Hence, simplifying we get fraction has $$\frac{2}{7}$$

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